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Hiaz.JabberWockyTriangleSpacer1.1 - 05 Jul 2005 - 13:16 - TWikiGuesttopic end

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Four-dimensional geometry is Euclidean geometry extended into one additional dimension. The prefix "hyper-" is usually used to refer to the four- (and higher-) dimensional analogs of three-dimensional objects, e.g. hypercube, hyperplane, hypersphere. n-dimensional polyhedra are called polytopes. The four-dimensional cases of general n-dimensional objects are often given special names, such as those summarized in the following table.

The 120-cell is a finite regular four-dimensional polytope with Schläfli symbol . It is also known as the hyperdodecahedron or hecatonicosachoron, and is composed of 120 dodecahedra, with 3 to an edge. The 120-cell has 600 vertices (Coxeter 1969), and consists of 120 dodecahedra and 720 pentagons (Coxeter 1973, p. 264). The dual of the 120-cell is the 600-cell.

cell120.gif 0img280.gif 120cell_5.jpg

-- HiazHhzz - 16 Nov 2004
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